Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end
We show that there exists a complete minimal surface immersed into \(\mathbb{R}^ 3\) which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. Furthermore, the end of the surface is of Enneper type and its total curvature is \(-16 \pi\).
scientific article; zbMATH DE number 672151